What is the Least Common Multiple of 85378 and 85393?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85378 and 85393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85378 and 85393, than apply into the LCM equation.

GCF(85378,85393) = 1
LCM(85378,85393) = ( 85378 × 85393) / 1
LCM(85378,85393) = 7290683554 / 1
LCM(85378,85393) = 7290683554

Least Common Multiple (LCM) of 85378 and 85393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85378 and 85393. First we will calculate the prime factors of 85378 and 85393.

Prime Factorization of 85378

Prime Factorization of 85393

Now multiplying the highest exponent prime factors to calculate the LCM of 85378 and 85393.

LCM(85378,85393) = 2¹ × 42689¹ × 7¹ × 11¹ × 1109¹
LCM(85378,85393) = 7290683554